Details

sample112.0ms

Algorithm

intervals

Results

36.0ms	577×	body	80	valid
27.0ms	490×	body	80	nan

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	9
1	41	9
2	88	9
3	165	9
4	287	9
5	625	9
6	2014	9
7	5002	9

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.2b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (* t t) 2.0))
0.0b	(/ (* t t) 2.0)
0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
0.2b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-cbrt-cube`
14×	`add-exp-log`
13×	`add-sqr-sqrt`
11×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
7×	`exp-prod` `associate-r`
6×	`times-frac` `associate-*l/`
5×	`prod-exp` `cbrt-unprod` `add-log-exp`
4×	`associate-l` `pow-prod-down`
3×	`associate-/r*`
2×	`cbrt-undiv` `flip3--` `div-exp` `*-commutative` `flip--` `div-inv`
1×	`frac-2neg` `clear-num` `sqrt-prod` `rem-exp-log` `associate-/l*` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

2.0ms	(exp (/ (* t t) 2.0))
4.0ms	(/ (* t t) 2.0)
12.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
8.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series61.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(exp (/ (* t t) 2.0))
3.0ms	(/ (* t t) 2.0)
42.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
14.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify47.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	413	610
1	1743	532
2	5002	532

prune180.0ms

Filtered

67 candidates to 89 candidates (-32.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	81	8	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	8	90

Merged error: 0.0b

Counts

90 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0)))
0.0b	(exp (/ (* t t) 2.0))
0.0b	(/ (* t t) 2.0)
0.2b	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-cbrt-cube`
14×	`add-exp-log`
13×	`add-sqr-sqrt`
11×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
7×	`exp-prod` `associate-l`
6×	`times-frac`
5×	`prod-exp` `cbrt-unprod` `add-log-exp`
4×	`associate-r` `pow-prod-down`
3×	`associate-/r*`
2×	`cbrt-undiv` `div-exp` `associate-l/` `-commutative` `div-inv`
1×	`flip3--` `frac-2neg` `clear-num` `sqrt-prod` `flip--` `rem-exp-log` `associate-/l*` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

8.0ms	(* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0)))
2.0ms	(exp (/ (* t t) 2.0))
5.0ms	(/ (* t t) 2.0)
12.0ms	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0))))

series61.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0)))
2.0ms	(exp (/ (* t t) 2.0))
3.0ms	(/ (* t t) 2.0)
40.0ms	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0))))

simplify48.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	442	651
1	1796	567
2	5001	567

prune186.0ms

Filtered

65 candidates to 87 candidates (-33.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	83	4	87
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	84	11	95

Merged error: 0.0b

Counts

95 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.0b	(* (sqrt 2.0) (exp (/ (* t t) 2.0)))
0.2b	(* (- (* x 0.5) y) (* (sqrt z) (* (sqrt 2.0) (exp (/ (* t t) 2.0)))))
0.5b	(* (sqrt z) (* (sqrt 2.0) (exp (/ (* t t) 2.0))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-cbrt-cube`
22×	`add-exp-log`
20×	`pow1`
16×	`add-sqr-sqrt`
15×	`associate-l`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`prod-exp` `cbrt-unprod`
10×	`pow-prod-down`
7×	`sqrt-prod`
5×	`associate-r`
4×	`add-log-exp`
3×	`times-frac` `associate-/r` `-commutative`
2×	`cbrt-undiv` `div-exp` `associate-*l/` `unswap-sqr`
1×	`flip3--` `frac-2neg` `clear-num` `flip--` `div-inv` `associate-/l*`

Counts

4 → 87

Calls

4 calls:

4.0ms	(/ (* t t) 2.0)
8.0ms	(* (sqrt 2.0) (exp (/ (* t t) 2.0)))
13.0ms	(* (- (* x 0.5) y) (* (sqrt z) (* (sqrt 2.0) (exp (/ (* t t) 2.0)))))
10.0ms	(* (sqrt z) (* (sqrt 2.0) (exp (/ (* t t) 2.0))))

series72.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ (* t t) 2.0)
6.0ms	(* (sqrt 2.0) (exp (/ (* t t) 2.0)))
45.0ms	(* (- (* x 0.5) y) (* (sqrt z) (* (sqrt 2.0) (exp (/ (* t t) 2.0)))))
19.0ms	(* (sqrt z) (* (sqrt 2.0) (exp (/ (* t t) 2.0))))

simplify63.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	492	867
1	2325	752
2	5003	745

prune176.0ms

Filtered

66 candidates to 99 candidates (-50.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	4	5	9
Picked	1	0	1
Done	0	1	1
Total	102	8	110

Merged error: 0.0b

Counts

110 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.2b	(* (- (* x 0.5) y) (* (sqrt z) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (exp (/ (* t t) 2.0))))))
0.5b	(* (sqrt z) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (exp (/ (* t t) 2.0)))))
1.0b	(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (exp (/ (* t t) 2.0))))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-cbrt-cube`
34×	`add-exp-log`
32×	`pow1`
20×	`prod-exp` `cbrt-unprod`
19×	`pow-prod-down`
18×	`associate-l`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
4×	`add-log-exp`
3×	`times-frac` `associate-r` `associate-/r` `-commutative`
2×	`cbrt-undiv` `div-exp` `associate-*l/`
1×	`flip3--` `frac-2neg` `clear-num` `flip--` `div-inv` `associate-/l*`

Counts

4 → 95

Calls

4 calls:

5.0ms	(/ (* t t) 2.0)
20.0ms	(* (- (* x 0.5) y) (* (sqrt z) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (exp (/ (* t t) 2.0))))))
15.0ms	(* (sqrt z) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (exp (/ (* t t) 2.0)))))
13.0ms	(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (exp (/ (* t t) 2.0))))

series74.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ (* t t) 2.0)
46.0ms	(* (- (* x 0.5) y) (* (sqrt z) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (exp (/ (* t t) 2.0))))))
19.0ms	(* (sqrt z) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (exp (/ (* t t) 2.0)))))
6.0ms	(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (exp (/ (* t t) 2.0))))

simplify66.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	540	1148
1	2450	904
2	5001	870

prune190.0ms

Filtered

73 candidates to 107 candidates (-46.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	108	7	115

Merged error: 0.0b

Counts

115 → 7

regimes804.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	9
1	19	9

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.0s	18096×	body	80	valid
897.0ms	15567×	body	80	nan

Details

sample112.0ms

simplify73.0ms

prune4.0ms

localize14.0ms

rewrite28.0ms

series61.0ms

simplify47.0ms

prune180.0ms

localize12.0ms

rewrite31.0ms

series61.0ms

simplify48.0ms

prune186.0ms

localize13.0ms

rewrite38.0ms

series72.0ms

simplify63.0ms

prune176.0ms

localize18.0ms

rewrite56.0ms

series74.0ms

simplify66.0ms

prune190.0ms

regimes804.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.1s

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